I have experience is simulating elastic wave in solid (homogeneous) media. I've successfully used second order finite difference to simulate Lamb waves for a 2D case. My work was based on that by Lee and Staszewski http://www.iop.org/EJ/article/0964-1726/12/5/018/s ms3_5_018.pdf I've also heard of people using spectral elements for this. http://lsec.cc.ac.cn/~cjxu/SEM_mem.html
P.S. I'm a/. lurker. Only created an account to post this, hope it helps.
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I have experience is simulating elastic wave in solid (homogeneous) media. I've successfully used second order finite difference to simulate Lamb waves for a 2D case. My work was based on that by Lee and Staszewski http://www.iop.org/EJ/article/0964-1726/12/5/018/s ms3_5_018.pdf I've also heard of people using spectral elements for this. http://lsec.cc.ac.cn/~cjxu/SEM_mem.html
P.S. I'm a /. lurker. Only created an account to post this, hope it helps.